Ruth Britto

Associate Professor in Theoretical Physics

Fellow of Trinity College Dublin

 

School of Mathematics

Trinity College

Dublin 2

Ireland 

+353 1 896 3945

ruth.britto@tcd.ie

  

Current Teaching

MAU34107 Combinatorics, Michaelmas 2024

MAU44406 The Standard Model of Elementary Particle Physics, Hilary 2025

 

Research

Scattering amplitudes play a key role in high-energy physics. Not only do they describe the actual scattering taking place in collider experiments--of current importance in the era of the Large Hadron Collider (LHC)--but they also illuminate the formal aspects of quantum field theories, such as divergent behavior or integrability. Amplitudes are thus useful both practically and formally, but their availability is limited by the difficulty of computing them.

As the number of particles in the scattering process increases, or the perturbative expansion is carried out to higher order, the traditional technique of Feynman rules fails to be feasibly implementable. This difficulty has prompted the innovation of new techniques. Notable among these are on-shell techniques, in which the basic building blocks are complete amplitudes, rather than fundamental interactions. The on-shell framework has surpassed traditional Feynman diagram expansions, both in delivering new results and in expressing them in formulas that are not only compact, but also deeply illuminating. My research develops the on-shell framework to incorporate all theories and configurations of physical interest, building upon recent developments in pure mathematics.

ERC Synergy Grant Project: Mathematics of Scattering Amplitudes [MaScAmp]

The European Research Council has awarded funding to apply methods from number theory, algebraic geometry and string theory to Feynman integrals and to develop a new framework for fundamental interactions in physics.

There are openings for postdocs to begin in the fall of 2025.

For details and to apply, click here. Deadline: 1 December 2024.

For further information, contact loop-amplitudes@maths.tcd.ie.

 

Openings for PhD students will be posted on inspirehep.net/jobs when available.

Publications

Full list of publications on INSPIRE

Lecture notes: Constructing scattering amplitudes

Review articles:

·       Cutting-edge tools for cutting edges, with C. Duhr, H. S. Hannesdottir and S. Mizera.

·       Mathematical structures in Feynman integrals, with S. Abreu and C. Duhr. (Chapter 3 of The SAGEX Review on Scattering Amplitudes)

·       Loop amplitudes in gauge theories: modern analytic approaches